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        <a href="pod-module.html">Package&nbsp;pod</a> ::
        Module&nbsp;linalg
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<h1 class="epydoc">Source Code for <a href="pod.linalg-module.html" onclick="show_private();">Module pod.linalg</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-docstring">Basic linear algebra components and functions.</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-docstring">@author: Christophe Alexandre &lt;ch.alexandre at bluewin dot ch&gt;</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-docstring">@license:</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-docstring">Copyright(C) 2010 Christophe Alexandre</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-docstring">This program is free software: you can redistribute it and/or modify</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-docstring">it under the terms of the GNU Lesser General Public License as published by</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">the Free Software Foundation, either version 3 of the License, or</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring">(at your option) any later version.</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">This program is distributed in the hope that it will be useful,</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">but WITHOUT ANY WARRANTY; without even the implied warranty of</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-docstring">MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-docstring">GNU General Public License for more details.</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">You should have received a copy of the GNU Lesser General Public License</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring">along with this program.  If not, see &lt;http://www.gnu.org/licenses/lgpl.txt&gt;.</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">math</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">os</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">logging</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-0" class="py-name" targets="Module pod.util=pod.util-module.html"><a title="pod.util" class="py-name" href="#" onclick="return doclink('link-0', 'util', 'link-0');">util</a></tt> <tt class="py-keyword">import</tt> <tt id="link-1" class="py-name" targets="Class pod.util.NullHandler=pod.util.NullHandler-class.html"><a title="pod.util.NullHandler" class="py-name" href="#" onclick="return doclink('link-1', 'NullHandler', 'link-1');">NullHandler</a></tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-2" class="py-name"><a title="pod.util" class="py-name" href="#" onclick="return doclink('link-2', 'util', 'link-0');">util</a></tt> <tt class="py-keyword">import</tt> <tt id="link-3" class="py-name" targets="Function pod.util.numbering()=pod.util-module.html#numbering"><a title="pod.util.numbering" class="py-name" href="#" onclick="return doclink('link-3', 'numbering', 'link-3');">numbering</a></tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-4" class="py-name"><a title="pod.util" class="py-name" href="#" onclick="return doclink('link-4', 'util', 'link-0');">util</a></tt> <tt class="py-keyword">import</tt> <tt id="link-5" class="py-name" targets="Function pod.util.prod_scalar()=pod.util-module.html#prod_scalar"><a title="pod.util.prod_scalar" class="py-name" href="#" onclick="return doclink('link-5', 'prod_scalar', 'link-5');">prod_scalar</a></tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt id="link-6" class="py-name" targets="Variable pod._h=pod-module.html#_h,Variable pod.linalg._h=pod.linalg-module.html#_h,Variable pod.util._h=pod.util-module.html#_h,Variable pod.vecspace._h=pod.vecspace-module.html#_h"><a title="pod._h
pod.linalg._h
pod.util._h
pod.vecspace._h" class="py-name" href="#" onclick="return doclink('link-6', '_h', 'link-6');">_h</a></tt> <tt class="py-op">=</tt> <tt id="link-7" class="py-name"><a title="pod.util.NullHandler" class="py-name" href="#" onclick="return doclink('link-7', 'NullHandler', 'link-1');">NullHandler</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt id="link-8" class="py-name" targets="Variable pod._logger=pod-module.html#_logger,Variable pod.linalg._logger=pod.linalg-module.html#_logger,Variable pod.util._logger=pod.util-module.html#_logger,Variable pod.vecspace._logger=pod.vecspace-module.html#_logger"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-8', '_logger', 'link-8');">_logger</a></tt> <tt class="py-op">=</tt> <tt class="py-name">logging</tt><tt class="py-op">.</tt><tt class="py-name">getLogger</tt><tt class="py-op">(</tt><tt class="py-string">'linalg'</tt><tt class="py-op">)</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"><tt id="link-9" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-9', '_logger', 'link-8');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">addHandler</tt><tt class="py-op">(</tt><tt id="link-10" class="py-name"><a title="pod._h
pod.linalg._h
pod.util._h
pod.vecspace._h" class="py-name" href="#" onclick="return doclink('link-10', '_h', 'link-6');">_h</a></tt><tt class="py-op">)</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"> </tt>
<a name="Matrix"></a><div id="Matrix-def"><a name="L35"></a><tt class="py-lineno"> 35</tt> <a class="py-toggle" href="#" id="Matrix-toggle" onclick="return toggle('Matrix');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html">Matrix</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Matrix-expanded"><a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line">   </tt>
<a name="Matrix.__init__"></a><div id="Matrix.__init__-def"><a name="L37"></a><tt class="py-lineno"> 37</tt> <a class="py-toggle" href="#" id="Matrix.__init__-toggle" onclick="return toggle('Matrix.__init__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">dim_row</tt><tt class="py-op">,</tt> <tt class="py-param">dim_col</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.__init__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.__init__-expanded"><a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">dim_col</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line">      <tt class="py-name">dim_col</tt> <tt class="py-op">=</tt> <tt class="py-name">dim_row</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">dim_row</tt> <tt class="py-op">=</tt> <tt class="py-name">dim_row</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">dim_col</tt> <tt class="py-op">=</tt> <tt class="py-name">dim_col</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vectors</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
</div><a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line">     </tt>
<a name="Matrix.transpose"></a><div id="Matrix.transpose-def"><a name="L44"></a><tt class="py-lineno"> 44</tt> <a class="py-toggle" href="#" id="Matrix.transpose-toggle" onclick="return toggle('Matrix.transpose');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#transpose">transpose</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.transpose-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.transpose-expanded"><a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line">    <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt id="link-11" class="py-name" targets="Class pod.linalg.Matrix=pod.linalg.Matrix-class.html"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-11', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-12" class="py-name" targets="Method pod.linalg.Matrix.get_dim_col()=pod.linalg.Matrix-class.html#get_dim_col"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-12', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-13" class="py-name" targets="Method pod.linalg.Matrix.get_dim_row()=pod.linalg.Matrix-class.html#get_dim_row"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-13', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-14" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-14', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-15" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-15', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line">        <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-16" class="py-name" targets="Method pod.linalg.Matrix.set_value()=pod.linalg.Matrix-class.html#set_value"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-16', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">j</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-17" class="py-name" targets="Method pod.linalg.Matrix.get_value()=pod.linalg.Matrix-class.html#get_value"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-17', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">m</tt> </tt>
</div><a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line">     </tt>
<a name="Matrix.get_value"></a><div id="Matrix.get_value-def"><a name="L51"></a><tt class="py-lineno"> 51</tt> <a class="py-toggle" href="#" id="Matrix.get_value-toggle" onclick="return toggle('Matrix.get_value');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#get_value">get_value</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">j</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.get_value-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.get_value-expanded"><a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">i</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-18" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-18', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'row %d exceeding dimension %d'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-19" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-19', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">j</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-20" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-20', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'column %d exceeding dimension %d'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">j</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-21" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-21', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vectors</tt><tt class="py-op">.</tt><tt class="py-name">has_key</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line">      <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vectors</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">      <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_create_vector</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">v</tt><tt class="py-op">.</tt><tt id="link-22" class="py-name" targets="Method pod.linalg.Vector.get_component()=pod.linalg.Vector-class.html#get_component"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-22', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">j</tt><tt class="py-op">)</tt> </tt>
</div><a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line">   </tt>
<a name="Matrix.set_table"></a><div id="Matrix.set_table-def"><a name="L60"></a><tt class="py-lineno"> 60</tt> <a class="py-toggle" href="#" id="Matrix.set_table-toggle" onclick="return toggle('Matrix.set_table');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#set_table">set_table</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">table</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.set_table-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.set_table-expanded"><a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">table</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-23" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-23', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'expected %d rows instead of %d'</tt><tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-24" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-24', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">table</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-25" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-25', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">      <tt class="py-keyword">assert</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">table</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-26" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-26', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'expected %d columns instead of %d'</tt><tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-27" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-27', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">table</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-28" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-28', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-29" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-29', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt><tt class="py-op">,</tt> <tt class="py-name">table</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">[</tt><tt class="py-name">j</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line">         </tt>
<a name="Matrix.get_table"></a><div id="Matrix.get_table-def"><a name="L67"></a><tt class="py-lineno"> 67</tt> <a class="py-toggle" href="#" id="Matrix.get_table-toggle" onclick="return toggle('Matrix.get_table');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#get_table">get_table</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.get_table-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.get_table-expanded"><a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">    <tt class="py-name">table</tt> <tt class="py-op">=</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-30" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-30', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line">      <tt class="py-name">row</tt> <tt class="py-op">=</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-31" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-31', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line">        <tt class="py-name">row</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-32" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-32', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">      <tt class="py-name">table</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">)</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">table</tt> </tt>
</div><a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">   </tt>
<a name="Matrix.get_dimension"></a><div id="Matrix.get_dimension-def"><a name="L76"></a><tt class="py-lineno"> 76</tt> <a class="py-toggle" href="#" id="Matrix.get_dimension-toggle" onclick="return toggle('Matrix.get_dimension');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#get_dimension">get_dimension</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.get_dimension-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.get_dimension-expanded"><a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">     <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">dim_row</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">dim_col</tt><tt class="py-op">)</tt> </tt>
</div><a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">   </tt>
<a name="Matrix.get_dim_row"></a><div id="Matrix.get_dim_row-def"><a name="L79"></a><tt class="py-lineno"> 79</tt> <a class="py-toggle" href="#" id="Matrix.get_dim_row-toggle" onclick="return toggle('Matrix.get_dim_row');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#get_dim_row">get_dim_row</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.get_dim_row-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.get_dim_row-expanded"><a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-33" class="py-name" targets="Method pod.linalg.Matrix.get_dimension()=pod.linalg.Matrix-class.html#get_dimension,Method pod.vecspace.LinearVariety.get_dimension()=pod.vecspace.LinearVariety-class.html#get_dimension,Method pod.vecspace.VectorSpace.get_dimension()=pod.vecspace.VectorSpace-class.html#get_dimension"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-33', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
</div><a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">     </tt>
<a name="Matrix.get_dim_col"></a><div id="Matrix.get_dim_col-def"><a name="L82"></a><tt class="py-lineno"> 82</tt> <a class="py-toggle" href="#" id="Matrix.get_dim_col-toggle" onclick="return toggle('Matrix.get_dim_col');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#get_dim_col">get_dim_col</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.get_dim_col-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.get_dim_col-expanded"><a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-34" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-34', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
</div><a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">   </tt>
<a name="Matrix._create_vector"></a><div id="Matrix._create_vector-def"><a name="L85"></a><tt class="py-lineno"> 85</tt> <a class="py-toggle" href="#" id="Matrix._create_vector-toggle" onclick="return toggle('Matrix._create_vector');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#_create_vector">_create_vector</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix._create_vector-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix._create_vector-expanded"><a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-35" class="py-name" targets="Class pod.linalg.Vector=pod.linalg.Vector-class.html"><a title="pod.linalg.Vector" class="py-name" href="#" onclick="return doclink('link-35', 'Vector', 'link-35');">Vector</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-36" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-36', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">     </tt>
<a name="Matrix.set_value"></a><div id="Matrix.set_value-def"><a name="L88"></a><tt class="py-lineno"> 88</tt> <a class="py-toggle" href="#" id="Matrix.set_value-toggle" onclick="return toggle('Matrix.set_value');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#set_value">set_value</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">j</tt><tt class="py-op">,</tt> <tt class="py-param">val</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.set_value-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.set_value-expanded"><a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">    <tt class="py-name">msg</tt> <tt class="py-op">=</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-37" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-37', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">i</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-38" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-38', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'row %d exceeding dimension %s'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">msg</tt><tt class="py-op">)</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">j</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-39" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-39', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'column %d exceeding dimension %s'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">j</tt><tt class="py-op">,</tt> <tt class="py-name">msg</tt><tt class="py-op">)</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vectors</tt><tt class="py-op">.</tt><tt class="py-name">has_key</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">      <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vectors</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">      <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_create_vector</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line">      <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vectors</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">v</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">    <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line">      <tt class="py-name">v</tt><tt class="py-op">.</tt><tt id="link-40" class="py-name" targets="Method pod.linalg.Vector.set_component()=pod.linalg.Vector-class.html#set_component"><a title="pod.linalg.Vector.set_component" class="py-name" href="#" onclick="return doclink('link-40', 'set_component', 'link-40');">set_component</a></tt><tt class="py-op">(</tt><tt class="py-name">j</tt><tt class="py-op">,</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">val</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line">    <tt class="py-keyword">except</tt> <tt class="py-name">TypeError</tt><tt class="py-op">,</tt> <tt class="py-name">e</tt><tt class="py-op">:</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">      <tt class="py-name">logging</tt><tt class="py-op">.</tt><tt class="py-name">error</tt><tt class="py-op">(</tt><tt class="py-string">'not a number: %s'</tt> <tt class="py-op">%</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">val</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">      <tt class="py-keyword">raise</tt> <tt class="py-name">e</tt> </tt>
</div><a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line"> </tt>
<a name="Matrix.minor"></a><div id="Matrix.minor-def"><a name="L103"></a><tt class="py-lineno">103</tt> <a class="py-toggle" href="#" id="Matrix.minor-toggle" onclick="return toggle('Matrix.minor');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#minor">minor</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">c</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.minor-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.minor-expanded"><a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"><tt class="py-docstring">    Sub-matrix excluding the specified row and column.</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line">    <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt id="link-41" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-41', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-42" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-42', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-43" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-43', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">    <tt class="py-name">dr</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-44" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-44', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">    <tt class="py-name">dc</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-45" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-45', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">k</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt id="link-46" class="py-name"><a title="pod.util.numbering" class="py-name" href="#" onclick="return doclink('link-46', 'numbering', 'link-3');">numbering</a></tt><tt class="py-op">(</tt><tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">dr</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">l</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt id="link-47" class="py-name"><a title="pod.util.numbering" class="py-name" href="#" onclick="return doclink('link-47', 'numbering', 'link-3');">numbering</a></tt><tt class="py-op">(</tt><tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">c</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">c</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">dc</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">        <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-48" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-48', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt><tt class="py-op">)</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">        <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-49" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-49', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">k</tt><tt class="py-op">,</tt> <tt class="py-name">l</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">m</tt> </tt>
</div><a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"> </tt>
<a name="Matrix.determinant"></a><div id="Matrix.determinant-def"><a name="L116"></a><tt class="py-lineno">116</tt> <a class="py-toggle" href="#" id="Matrix.determinant-toggle" onclick="return toggle('Matrix.determinant');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#determinant">determinant</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.determinant-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.determinant-expanded"><a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line">    <tt class="py-name">size</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-50" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-50', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line">    <tt class="py-name">det</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line">    <tt class="py-comment"># stopping condition</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">if</tt> <tt class="py-name">size</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line">      <tt class="py-name">det</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-51" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-51', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">)</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">size</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line">        <tt id="link-52" class="py-name" targets="Method pod.linalg.Matrix.minor()=pod.linalg.Matrix-class.html#minor"><a title="pod.linalg.Matrix.minor" class="py-name" href="#" onclick="return doclink('link-52', 'minor', 'link-52');">minor</a></tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-53" class="py-name"><a title="pod.linalg.Matrix.minor" class="py-name" href="#" onclick="return doclink('link-53', 'minor', 'link-52');">minor</a></tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">i</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt> <tt class="py-op">==</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line">          <tt class="py-name">sign</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">          <tt class="py-name">sign</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.0</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">        <tt class="py-name">det</tt> <tt class="py-op">+=</tt> <tt class="py-name">sign</tt> <tt class="py-op">*</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-54" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-54', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt id="link-55" class="py-name"><a title="pod.linalg.Matrix.minor" class="py-name" href="#" onclick="return doclink('link-55', 'minor', 'link-52');">minor</a></tt><tt class="py-op">.</tt><tt id="link-56" class="py-name" targets="Method pod.linalg.Matrix.determinant()=pod.linalg.Matrix-class.html#determinant"><a title="pod.linalg.Matrix.determinant" class="py-name" href="#" onclick="return doclink('link-56', 'determinant', 'link-56');">determinant</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">det</tt> </tt>
</div><a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"> </tt>
<a name="Matrix.cofactors"></a><div id="Matrix.cofactors-def"><a name="L132"></a><tt class="py-lineno">132</tt> <a class="py-toggle" href="#" id="Matrix.cofactors-toggle" onclick="return toggle('Matrix.cofactors');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#cofactors">cofactors</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.cofactors-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.cofactors-expanded"><a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line">    <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt id="link-57" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-57', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-58" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-58', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-59" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-59', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-60" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-60', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">row</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt> <tt class="py-op">==</tt> <tt class="py-name">col</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line">          <tt class="py-name">sign</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line">          <tt class="py-name">sign</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.0</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line">        <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">sign</tt> <tt class="py-op">*</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-61" class="py-name"><a title="pod.linalg.Matrix.minor" class="py-name" href="#" onclick="return doclink('link-61', 'minor', 'link-52');">minor</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-62" class="py-name"><a title="pod.linalg.Matrix.determinant" class="py-name" href="#" onclick="return doclink('link-62', 'determinant', 'link-56');">determinant</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line">        <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-63" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-63', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">m</tt> </tt>
</div><a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line">   </tt>
<a name="Matrix.multiply"></a><div id="Matrix.multiply-def"><a name="L144"></a><tt class="py-lineno">144</tt> <a class="py-toggle" href="#" id="Matrix.multiply-toggle" onclick="return toggle('Matrix.multiply');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#multiply">multiply</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">m</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.multiply-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.multiply-expanded"><a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-64" class="py-name" targets="Function pod.linalg.prod_matrix()=pod.linalg-module.html#prod_matrix"><a title="pod.linalg.prod_matrix" class="py-name" href="#" onclick="return doclink('link-64', 'prod_matrix', 'link-64');">prod_matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">m</tt><tt class="py-op">)</tt> </tt>
</div><a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line">     </tt>
<a name="Matrix.sub"></a><div id="Matrix.sub-def"><a name="L147"></a><tt class="py-lineno">147</tt> <a class="py-toggle" href="#" id="Matrix.sub-toggle" onclick="return toggle('Matrix.sub');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#sub">sub</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">m</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.sub-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.sub-expanded"><a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line">    <tt class="py-name">msg</tt> <tt class="py-op">=</tt> <tt class="py-string">'matrices with different dimensions (%s - %s)'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-65" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-65', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-66" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-66', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-67" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-67', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-68" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-68', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">msg</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line">    <tt class="py-name">n</tt> <tt class="py-op">=</tt> <tt id="link-69" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-69', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-70" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-70', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-71" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-71', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-72" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-72', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-73" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-73', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">        <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-74" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-74', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-75" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-75', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt> </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line">        <tt class="py-name">n</tt><tt class="py-op">.</tt><tt id="link-76" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-76', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">n</tt> </tt>
</div><a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">     </tt>
<a name="Matrix.add"></a><div id="Matrix.add-def"><a name="L157"></a><tt class="py-lineno">157</tt> <a class="py-toggle" href="#" id="Matrix.add-toggle" onclick="return toggle('Matrix.add');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#add">add</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">m</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.add-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.add-expanded"><a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-77" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-77', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-78" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-78', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'incompatible dimensions'</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line">    <tt class="py-name">n</tt> <tt class="py-op">=</tt> <tt id="link-79" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-79', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-80" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-80', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-81" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-81', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-82" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-82', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-83" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-83', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line">        <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-84" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-84', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-85" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-85', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line">        <tt class="py-name">n</tt><tt class="py-op">.</tt><tt id="link-86" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-86', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">n</tt> </tt>
</div><a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line">       </tt>
<a name="Matrix.scale"></a><div id="Matrix.scale-def"><a name="L166"></a><tt class="py-lineno">166</tt> <a class="py-toggle" href="#" id="Matrix.scale-toggle" onclick="return toggle('Matrix.scale');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#scale">scale</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">factor</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.scale-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.scale-expanded"><a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line">    <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt id="link-87" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-87', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-88" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-88', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-89" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-89', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-90" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-90', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-91" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-91', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line">        <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-92" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-92', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">factor</tt> </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line">        <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-93" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-93', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">m</tt> </tt>
</div><a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">     </tt>
<a name="Matrix.inverse"></a><div id="Matrix.inverse-def"><a name="L174"></a><tt class="py-lineno">174</tt> <a class="py-toggle" href="#" id="Matrix.inverse-toggle" onclick="return toggle('Matrix.inverse');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#inverse">inverse</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.inverse-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.inverse-expanded"><a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-94" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-94', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line">      <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt id="link-95" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-95', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line">      <tt class="py-name">m</tt><tt class="py-op">.</tt><tt id="link-96" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-96', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-97" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-97', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line">      <tt class="py-keyword">return</tt> <tt class="py-name">m</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line">    <tt class="py-name">det_inv</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-98" class="py-name"><a title="pod.linalg.Matrix.determinant" class="py-name" href="#" onclick="return doclink('link-98', 'determinant', 'link-56');">determinant</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line">    <tt id="link-99" class="py-name" targets="Method pod.linalg.Matrix.cofactors()=pod.linalg.Matrix-class.html#cofactors"><a title="pod.linalg.Matrix.cofactors" class="py-name" href="#" onclick="return doclink('link-99', 'cofactors', 'link-99');">cofactors</a></tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-100" class="py-name"><a title="pod.linalg.Matrix.cofactors" class="py-name" href="#" onclick="return doclink('link-100', 'cofactors', 'link-99');">cofactors</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line">    <tt id="link-101" class="py-name"><a title="pod.linalg.Matrix.cofactors" class="py-name" href="#" onclick="return doclink('link-101', 'cofactors', 'link-99');">cofactors</a></tt> <tt class="py-op">=</tt> <tt id="link-102" class="py-name"><a title="pod.linalg.Matrix.cofactors" class="py-name" href="#" onclick="return doclink('link-102', 'cofactors', 'link-99');">cofactors</a></tt><tt class="py-op">.</tt><tt id="link-103" class="py-name" targets="Method pod.linalg.Matrix.transpose()=pod.linalg.Matrix-class.html#transpose"><a title="pod.linalg.Matrix.transpose" class="py-name" href="#" onclick="return doclink('link-103', 'transpose', 'link-103');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line">    <tt class="py-name">i</tt> <tt class="py-op">=</tt> <tt id="link-104" class="py-name"><a title="pod.linalg.Matrix.cofactors" class="py-name" href="#" onclick="return doclink('link-104', 'cofactors', 'link-99');">cofactors</a></tt><tt class="py-op">.</tt><tt id="link-105" class="py-name" targets="Method pod.linalg.Matrix.scale()=pod.linalg.Matrix-class.html#scale,Method pod.linalg.Vector.scale()=pod.linalg.Vector-class.html#scale"><a title="pod.linalg.Matrix.scale
pod.linalg.Vector.scale" class="py-name" href="#" onclick="return doclink('link-105', 'scale', 'link-105');">scale</a></tt><tt class="py-op">(</tt><tt class="py-name">det_inv</tt><tt class="py-op">)</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">i</tt> </tt>
</div><a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line">   </tt>
<a name="Matrix.pseudo_inverse"></a><div id="Matrix.pseudo_inverse-def"><a name="L185"></a><tt class="py-lineno">185</tt> <a class="py-toggle" href="#" id="Matrix.pseudo_inverse-toggle" onclick="return toggle('Matrix.pseudo_inverse');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#pseudo_inverse">pseudo_inverse</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.pseudo_inverse-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.pseudo_inverse-expanded"><a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line"><tt class="py-docstring">    Full row rank pseudo inverse.</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line"><tt class="py-docstring">    A+ = transp(A).inv(A.transp(A))</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">    <tt class="py-name">t_a</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-106" class="py-name"><a title="pod.linalg.Matrix.transpose" class="py-name" href="#" onclick="return doclink('link-106', 'transpose', 'link-103');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">    <tt class="py-name">a_t_a</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-107" class="py-name" targets="Method pod.linalg.Matrix.multiply()=pod.linalg.Matrix-class.html#multiply"><a title="pod.linalg.Matrix.multiply" class="py-name" href="#" onclick="return doclink('link-107', 'multiply', 'link-107');">multiply</a></tt><tt class="py-op">(</tt><tt class="py-name">t_a</tt><tt class="py-op">)</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">    <tt class="py-name">inv_a_transp_a</tt> <tt class="py-op">=</tt> <tt class="py-name">a_t_a</tt><tt class="py-op">.</tt><tt id="link-108" class="py-name" targets="Method pod.linalg.Matrix.inverse()=pod.linalg.Matrix-class.html#inverse"><a title="pod.linalg.Matrix.inverse" class="py-name" href="#" onclick="return doclink('link-108', 'inverse', 'link-108');">inverse</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">t_a</tt><tt class="py-op">.</tt><tt id="link-109" class="py-name"><a title="pod.linalg.Matrix.multiply" class="py-name" href="#" onclick="return doclink('link-109', 'multiply', 'link-107');">multiply</a></tt><tt class="py-op">(</tt><tt class="py-name">inv_a_transp_a</tt><tt class="py-op">)</tt> </tt>
</div><a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">     </tt>
<a name="Matrix.copy"></a><div id="Matrix.copy-def"><a name="L197"></a><tt class="py-lineno">197</tt> <a class="py-toggle" href="#" id="Matrix.copy-toggle" onclick="return toggle('Matrix.copy');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#copy">copy</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.copy-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.copy-expanded"><a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">    <tt class="py-name">c</tt> <tt class="py-op">=</tt> <tt id="link-110" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-110', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-111" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-111', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-112" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-112', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-113" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-113', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-114" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-114', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line">        <tt class="py-name">c</tt><tt class="py-op">.</tt><tt id="link-115" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-115', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-116" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-116', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">c</tt> </tt>
</div><a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"> </tt>
<a name="Matrix.__repr__"></a><div id="Matrix.__repr__-def"><a name="L204"></a><tt class="py-lineno">204</tt> <a class="py-toggle" href="#" id="Matrix.__repr__-toggle" onclick="return toggle('Matrix.__repr__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Matrix-class.html#__repr__">__repr__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Matrix.__repr__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Matrix.__repr__-expanded"><a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line">    <tt class="py-name">out</tt> <tt class="py-op">=</tt> <tt class="py-string">'(M%dx%d)'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-117" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-117', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-118" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-118', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">os</tt><tt class="py-op">.</tt><tt class="py-name">linesep</tt> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-119" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-119', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line">      <tt class="py-name">line</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-120" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-120', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line">        <tt class="py-name">line</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-121" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-121', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-name">col</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line">      <tt class="py-name">out</tt> <tt class="py-op">+=</tt> <tt class="py-string">', '</tt><tt class="py-op">.</tt><tt class="py-name">join</tt><tt class="py-op">(</tt><tt class="py-name">map</tt><tt class="py-op">(</tt><tt class="py-name">str</tt><tt class="py-op">,</tt> <tt class="py-name">line</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">os</tt><tt class="py-op">.</tt><tt class="py-name">linesep</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">out</tt> </tt>
</div></div><a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"> </tt>
<a name="VectorMatrix"></a><div id="VectorMatrix-def"><a name="L213"></a><tt class="py-lineno">213</tt> <a class="py-toggle" href="#" id="VectorMatrix-toggle" onclick="return toggle('VectorMatrix');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.linalg.VectorMatrix-class.html">VectorMatrix</a><tt class="py-op">(</tt><tt class="py-base-class">Matrix</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="VectorMatrix-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="VectorMatrix-expanded"><a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line">  <tt class="py-docstring">"""</tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line"><tt class="py-docstring">  Makes a vector compatible with Matrix operations.</tt> </tt>
<a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line"><tt class="py-docstring">  """</tt> </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line">   </tt>
<a name="VectorMatrix.__init__"></a><div id="VectorMatrix.__init__-def"><a name="L218"></a><tt class="py-lineno">218</tt> <a class="py-toggle" href="#" id="VectorMatrix.__init__-toggle" onclick="return toggle('VectorMatrix.__init__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.VectorMatrix-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">vector</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="VectorMatrix.__init__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="VectorMatrix.__init__-expanded"><a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line"><tt class="py-docstring">    Column vector.</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line"><tt class="py-docstring">    Use transpose() to turn it into a row vector.</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line">    <tt id="link-122" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-122', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">.</tt><tt id="link-123" class="py-name" targets="Method pod.DecompositionBasic.__init__()=pod.DecompositionBasic-class.html#__init__,Method pod.linalg.Matrix.__init__()=pod.linalg.Matrix-class.html#__init__,Method pod.linalg.Point.__init__()=pod.linalg.Point-class.html#__init__,Method pod.linalg.Vector.__init__()=pod.linalg.Vector-class.html#__init__,Method pod.linalg.VectorMatrix.__init__()=pod.linalg.VectorMatrix-class.html#__init__,Method pod.vecspace.HyperPlane.__init__()=pod.vecspace.HyperPlane-class.html#__init__,Method pod.vecspace.LinearVariety.__init__()=pod.vecspace.LinearVariety-class.html#__init__,Method pod.vecspace.Projection.__init__()=pod.vecspace.Projection-class.html#__init__,Method pod.vecspace.StraightLine.__init__()=pod.vecspace.StraightLine-class.html#__init__,Method pod.vecspace.VectorSpace.__init__()=pod.vecspace.VectorSpace-class.html#__init__,Method pod.vecspace.VectorSpace3D.__init__()=pod.vecspace.VectorSpace3D-class.html#__init__,Method pod.vecspace.VectorSubspace.__init__()=pod.vecspace.VectorSubspace-class.html#__init__"><a title="pod.DecompositionBasic.__init__
pod.linalg.Matrix.__init__
pod.linalg.Point.__init__
pod.linalg.Vector.__init__
pod.linalg.VectorMatrix.__init__
pod.vecspace.HyperPlane.__init__
pod.vecspace.LinearVariety.__init__
pod.vecspace.Projection.__init__
pod.vecspace.StraightLine.__init__
pod.vecspace.VectorSpace.__init__
pod.vecspace.VectorSpace3D.__init__
pod.vecspace.VectorSubspace.__init__" class="py-name" href="#" onclick="return doclink('link-123', '__init__', 'link-123');">__init__</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">vector</tt><tt class="py-op">.</tt><tt id="link-124" class="py-name" targets="Method pod.linalg.Vector.get_length()=pod.linalg.Vector-class.html#get_length"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-124', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">row</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">vector</tt><tt class="py-op">.</tt><tt id="link-125" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-125', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line">      <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-126" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-126', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">vector</tt><tt class="py-op">.</tt><tt id="link-127" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-127', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">row</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line">       </tt>
<a name="Vector"></a><div id="Vector-def"><a name="L228"></a><tt class="py-lineno">228</tt> <a class="py-toggle" href="#" id="Vector-toggle" onclick="return toggle('Vector');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html">Vector</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Vector-expanded"><a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line">  <tt class="py-docstring">"""</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line"><tt class="py-docstring">  @todo: should somehow be merged with VectorMatrix.</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line"><tt class="py-docstring">  """</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">   </tt>
<a name="Vector.__init__"></a><div id="Vector.__init__-def"><a name="L233"></a><tt class="py-lineno">233</tt> <a class="py-toggle" href="#" id="Vector.__init__-toggle" onclick="return toggle('Vector.__init__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">dim</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.__init__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.__init__-expanded"><a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_dim</tt> <tt class="py-op">=</tt> <tt class="py-name">dim</tt> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
</div><a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line">   </tt>
<a name="Vector.get_length"></a><div id="Vector.get_length-def"><a name="L237"></a><tt class="py-lineno">237</tt> <a class="py-toggle" href="#" id="Vector.get_length-toggle" onclick="return toggle('Vector.get_length');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#get_length">get_length</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.get_length-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.get_length-expanded"><a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_dim</tt> </tt>
</div><a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">   </tt>
<a name="Vector.set_values"></a><div id="Vector.set_values-def"><a name="L240"></a><tt class="py-lineno">240</tt> <a class="py-toggle" href="#" id="Vector.set_values-toggle" onclick="return toggle('Vector.set_values');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#set_values">set_values</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt class="py-param">values</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.set_values-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.set_values-expanded"><a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line">    <tt class="py-docstring">""" Using specified values to initialize the vector. """</tt> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">n</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt> <tt class="py-keyword">in</tt> <tt id="link-128" class="py-name"><a title="pod.util.numbering" class="py-name" href="#" onclick="return doclink('link-128', 'numbering', 'link-3');">numbering</a></tt><tt class="py-op">(</tt><tt class="py-name">values</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line">      <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-129" class="py-name"><a title="pod.linalg.Vector.set_component" class="py-name" href="#" onclick="return doclink('link-129', 'set_component', 'link-40');">set_component</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">self</tt> </tt>
</div><a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line">   </tt>
<a name="Vector.set_data"></a><div id="Vector.set_data-def"><a name="L246"></a><tt class="py-lineno">246</tt> <a class="py-toggle" href="#" id="Vector.set_data-toggle" onclick="return toggle('Vector.set_data');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#set_data">set_data</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">data</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.set_data-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.set_data-expanded"><a name="L247"></a><tt class="py-lineno">247</tt>  <tt class="py-line">    <tt class="py-docstring">""" Using raw data (python list) to initialize the vector. """</tt> </tt>
<a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-130" class="py-name" targets="Method pod.linalg.Vector.set_values()=pod.linalg.Vector-class.html#set_values"><a title="pod.linalg.Vector.set_values" class="py-name" href="#" onclick="return doclink('link-130', 'set_values', 'link-130');">set_values</a></tt><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-name">data</tt><tt class="py-op">)</tt> </tt>
</div><a name="L249"></a><tt class="py-lineno">249</tt>  <tt class="py-line">   </tt>
<a name="Vector.get_component"></a><div id="Vector.get_component-def"><a name="L250"></a><tt class="py-lineno">250</tt> <a class="py-toggle" href="#" id="Vector.get_component-toggle" onclick="return toggle('Vector.get_component');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#get_component">get_component</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">i</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.get_component-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.get_component-expanded"><a name="L251"></a><tt class="py-lineno">251</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">i</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-131" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-131', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'index %d exceeding dimension %d'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-132" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-132', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">i</tt> <tt class="py-op">&gt;=</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-string">'non positive index %d'</tt> <tt class="py-op">%</tt> <tt class="py-name">i</tt> </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-keyword">not</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt><tt class="py-op">.</tt><tt class="py-name">has_key</tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line">      <tt class="py-keyword">return</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L255"></a><tt class="py-lineno">255</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line">      <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt> </tt>
</div><a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line">       </tt>
<a name="Vector.set_component"></a><div id="Vector.set_component-def"><a name="L258"></a><tt class="py-lineno">258</tt> <a class="py-toggle" href="#" id="Vector.set_component-toggle" onclick="return toggle('Vector.set_component');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#set_component">set_component</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">i</tt><tt class="py-op">,</tt> <tt class="py-param">v</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.set_component-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.set_component-expanded"><a name="L259"></a><tt class="py-lineno">259</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">i</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-133" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-133', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-string">'index %d exceeding dimension %d'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-134" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-134', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line">    <tt class="py-keyword">assert</tt> <tt class="py-name">i</tt> <tt class="py-op">&gt;=</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-string">'non positive index %d'</tt> <tt class="py-op">%</tt> <tt class="py-name">i</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">v</tt> </tt>
</div><a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line"> </tt>
<a name="Vector.get_data"></a><div id="Vector.get_data-def"><a name="L263"></a><tt class="py-lineno">263</tt> <a class="py-toggle" href="#" id="Vector.get_data-toggle" onclick="return toggle('Vector.get_data');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#get_data">get_data</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.get_data-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.get_data-expanded"><a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line">    <tt class="py-docstring">""" Raw data as built-in python list."""</tt> </tt>
<a name="L265"></a><tt class="py-lineno">265</tt>  <tt class="py-line">    <tt class="py-name">l</tt> <tt class="py-op">=</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-135" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-135', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line">      <tt class="py-name">l</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-136" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-136', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L268"></a><tt class="py-lineno">268</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">l</tt> </tt>
</div><a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line"> </tt>
<a name="Vector.sub"></a><div id="Vector.sub-def"><a name="L270"></a><tt class="py-lineno">270</tt> <a class="py-toggle" href="#" id="Vector.sub-toggle" onclick="return toggle('Vector.sub');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#sub">sub</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">vector</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.sub-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.sub-expanded"><a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line">    <tt class="py-name">result</tt> <tt class="py-op">=</tt> <tt id="link-137" class="py-name"><a title="pod.linalg.Vector" class="py-name" href="#" onclick="return doclink('link-137', 'Vector', 'link-35');">Vector</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-138" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-138', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-139" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-139', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L273"></a><tt class="py-lineno">273</tt>  <tt class="py-line">      <tt class="py-name">result</tt><tt class="py-op">.</tt><tt id="link-140" class="py-name"><a title="pod.linalg.Vector.set_component" class="py-name" href="#" onclick="return doclink('link-140', 'set_component', 'link-40');">set_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-141" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-141', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">vector</tt><tt class="py-op">.</tt><tt id="link-142" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-142', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">result</tt> </tt>
</div><a name="L275"></a><tt class="py-lineno">275</tt>  <tt class="py-line"> </tt>
<a name="Vector.add"></a><div id="Vector.add-def"><a name="L276"></a><tt class="py-lineno">276</tt> <a class="py-toggle" href="#" id="Vector.add-toggle" onclick="return toggle('Vector.add');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#add">add</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">vector</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.add-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.add-expanded"><a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line">    <tt class="py-name">result</tt> <tt class="py-op">=</tt> <tt id="link-143" class="py-name"><a title="pod.linalg.Vector" class="py-name" href="#" onclick="return doclink('link-143', 'Vector', 'link-35');">Vector</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-144" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-144', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-145" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-145', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line">      <tt class="py-name">result</tt><tt class="py-op">.</tt><tt id="link-146" class="py-name"><a title="pod.linalg.Vector.set_component" class="py-name" href="#" onclick="return doclink('link-146', 'set_component', 'link-40');">set_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-147" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-147', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">vector</tt><tt class="py-op">.</tt><tt id="link-148" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-148', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">result</tt> </tt>
</div><a name="L281"></a><tt class="py-lineno">281</tt>  <tt class="py-line">     </tt>
<a name="Vector.scale"></a><div id="Vector.scale-def"><a name="L282"></a><tt class="py-lineno">282</tt> <a class="py-toggle" href="#" id="Vector.scale-toggle" onclick="return toggle('Vector.scale');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#scale">scale</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.scale-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.scale-expanded"><a name="L283"></a><tt class="py-lineno">283</tt>  <tt class="py-line">    <tt class="py-name">result</tt> <tt class="py-op">=</tt> <tt id="link-149" class="py-name"><a title="pod.linalg.Vector" class="py-name" href="#" onclick="return doclink('link-149', 'Vector', 'link-35');">Vector</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-150" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-150', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-151" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-151', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line">      <tt class="py-name">result</tt><tt class="py-op">.</tt><tt id="link-152" class="py-name"><a title="pod.linalg.Vector.set_component" class="py-name" href="#" onclick="return doclink('link-152', 'set_component', 'link-40');">set_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt> <tt class="py-op">*</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-153" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-153', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">result</tt> </tt>
</div><a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line"> </tt>
<a name="Vector.product"></a><div id="Vector.product-def"><a name="L288"></a><tt class="py-lineno">288</tt> <a class="py-toggle" href="#" id="Vector.product-toggle" onclick="return toggle('Vector.product');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#product">product</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">vector</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.product-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.product-expanded"><a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-154" class="py-name"><a title="pod.util.prod_scalar" class="py-name" href="#" onclick="return doclink('link-154', 'prod_scalar', 'link-5');">prod_scalar</a></tt><tt class="py-op">(</tt><tt class="py-name">vector</tt><tt class="py-op">.</tt><tt id="link-155" class="py-name" targets="Method pod.linalg.Vector.get_data()=pod.linalg.Vector-class.html#get_data"><a title="pod.linalg.Vector.get_data" class="py-name" href="#" onclick="return doclink('link-155', 'get_data', 'link-155');">get_data</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-156" class="py-name"><a title="pod.linalg.Vector.get_data" class="py-name" href="#" onclick="return doclink('link-156', 'get_data', 'link-155');">get_data</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line"> </tt>
<a name="Vector.norm"></a><div id="Vector.norm-def"><a name="L291"></a><tt class="py-lineno">291</tt> <a class="py-toggle" href="#" id="Vector.norm-toggle" onclick="return toggle('Vector.norm');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#norm">norm</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.norm-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.norm-expanded"><a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-157" class="py-name" targets="Method pod.linalg.Vector.product()=pod.linalg.Vector-class.html#product"><a title="pod.linalg.Vector.product" class="py-name" href="#" onclick="return doclink('link-157', 'product', 'link-157');">product</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line"> </tt>
<a name="Vector.symmetric"></a><div id="Vector.symmetric-def"><a name="L294"></a><tt class="py-lineno">294</tt> <a class="py-toggle" href="#" id="Vector.symmetric-toggle" onclick="return toggle('Vector.symmetric');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#symmetric">symmetric</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.symmetric-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.symmetric-expanded"><a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line">    <tt class="py-name">null_vector</tt> <tt class="py-op">=</tt> <tt id="link-158" class="py-name"><a title="pod.linalg.Vector" class="py-name" href="#" onclick="return doclink('link-158', 'Vector', 'link-35');">Vector</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-159" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-159', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">null_vector</tt><tt class="py-op">.</tt><tt id="link-160" class="py-name" targets="Method pod.linalg.Matrix.sub()=pod.linalg.Matrix-class.html#sub,Method pod.linalg.Vector.sub()=pod.linalg.Vector-class.html#sub"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-160', 'sub', 'link-160');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt> </tt>
</div><a name="L297"></a><tt class="py-lineno">297</tt>  <tt class="py-line">     </tt>
<a name="Vector.units"></a><div id="Vector.units-def"><a name="L298"></a><tt class="py-lineno">298</tt> <a class="py-toggle" href="#" id="Vector.units-toggle" onclick="return toggle('Vector.units');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#units">units</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">unit_vector</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.units-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.units-expanded"><a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line"><tt class="py-docstring">    How many times the current vector fits in the specified units (in norm).</tt> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L302"></a><tt class="py-lineno">302</tt>  <tt class="py-line"><tt class="py-docstring">    The sign has a meaning only if both vectors are colinear.</tt> </tt>
<a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line">    <tt class="py-name">ratio</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-161" class="py-name" targets="Method pod.linalg.Vector.norm()=pod.linalg.Vector-class.html#norm,Function pod.util.norm()=pod.util-module.html#norm"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-161', 'norm', 'link-161');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">unit_vector</tt><tt class="py-op">.</tt><tt id="link-162" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-162', 'norm', 'link-161');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-163" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-163', 'sub', 'link-160');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">unit_vector</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-164" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-164', 'norm', 'link-161');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">unit_vector</tt><tt class="py-op">.</tt><tt id="link-165" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-165', 'norm', 'link-161');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line">      <tt class="py-comment"># vectors are in opposite directions</tt> </tt>
<a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line"><tt class="py-comment"></tt>      <tt class="py-name">ratio</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-name">ratio</tt> </tt>
<a name="L308"></a><tt class="py-lineno">308</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">ratio</tt> </tt>
</div><a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line">       </tt>
<a name="Vector.__eq__"></a><div id="Vector.__eq__-def"><a name="L310"></a><tt class="py-lineno">310</tt> <a class="py-toggle" href="#" id="Vector.__eq__-toggle" onclick="return toggle('Vector.__eq__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#__eq__">__eq__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">other</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.__eq__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.__eq__-expanded"><a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt> <tt class="py-op">==</tt> <tt class="py-name">other</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt> </tt>
</div><a name="L312"></a><tt class="py-lineno">312</tt>  <tt class="py-line">   </tt>
<a name="Vector.__ne__"></a><div id="Vector.__ne__-def"><a name="L313"></a><tt class="py-lineno">313</tt> <a class="py-toggle" href="#" id="Vector.__ne__-toggle" onclick="return toggle('Vector.__ne__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#__ne__">__ne__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">other</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.__ne__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.__ne__-expanded"><a name="L314"></a><tt class="py-lineno">314</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt> <tt class="py-op">!=</tt> <tt class="py-name">other</tt><tt class="py-op">.</tt><tt class="py-name">_values</tt> </tt>
</div><a name="L315"></a><tt class="py-lineno">315</tt>  <tt class="py-line">   </tt>
<a name="Vector.__repr__"></a><div id="Vector.__repr__-def"><a name="L316"></a><tt class="py-lineno">316</tt> <a class="py-toggle" href="#" id="Vector.__repr__-toggle" onclick="return toggle('Vector.__repr__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#__repr__">__repr__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.__repr__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.__repr__-expanded"><a name="L317"></a><tt class="py-lineno">317</tt>  <tt class="py-line">    <tt class="py-name">line</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
<a name="L318"></a><tt class="py-lineno">318</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-166" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-166', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L319"></a><tt class="py-lineno">319</tt>  <tt class="py-line">      <tt class="py-name">line</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-167" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-167', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">col</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L320"></a><tt class="py-lineno">320</tt>  <tt class="py-line">    <tt class="py-name">out</tt> <tt class="py-op">=</tt> <tt class="py-string">'(V)['</tt> <tt class="py-op">+</tt> <tt class="py-string">', '</tt><tt class="py-op">.</tt><tt class="py-name">join</tt><tt class="py-op">(</tt><tt class="py-name">map</tt><tt class="py-op">(</tt><tt class="py-name">str</tt><tt class="py-op">,</tt> <tt class="py-name">line</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-string">']'</tt> </tt>
<a name="L321"></a><tt class="py-lineno">321</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">out</tt> </tt>
</div><a name="L322"></a><tt class="py-lineno">322</tt>  <tt class="py-line">     </tt>
<a name="Vector.__hash__"></a><div id="Vector.__hash__-def"><a name="L323"></a><tt class="py-lineno">323</tt> <a class="py-toggle" href="#" id="Vector.__hash__-toggle" onclick="return toggle('Vector.__hash__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Vector-class.html#__hash__">__hash__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Vector.__hash__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Vector.__hash__-expanded"><a name="L324"></a><tt class="py-lineno">324</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">hash</tt><tt class="py-op">(</tt><tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-168" class="py-name"><a title="pod.linalg.Vector.get_data" class="py-name" href="#" onclick="return doclink('link-168', 'get_data', 'link-155');">get_data</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L325"></a><tt class="py-lineno">325</tt>  <tt class="py-line"> </tt>
<a name="Point"></a><div id="Point-def"><a name="L326"></a><tt class="py-lineno">326</tt> <a class="py-toggle" href="#" id="Point-toggle" onclick="return toggle('Point');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.linalg.Point-class.html">Point</a><tt class="py-op">(</tt><tt class="py-base-class">Vector</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Point-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Point-expanded"><a name="L327"></a><tt class="py-lineno">327</tt>  <tt class="py-line">  <tt class="py-docstring">"""</tt> </tt>
<a name="L328"></a><tt class="py-lineno">328</tt>  <tt class="py-line"><tt class="py-docstring">  Equivalent to a Vector</tt> </tt>
<a name="L329"></a><tt class="py-lineno">329</tt>  <tt class="py-line"><tt class="py-docstring">  """</tt> </tt>
<a name="Point.__init__"></a><div id="Point.__init__-def"><a name="L330"></a><tt class="py-lineno">330</tt> <a class="py-toggle" href="#" id="Point.__init__-toggle" onclick="return toggle('Point.__init__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Point-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt class="py-param">coordinates</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Point.__init__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Point.__init__-expanded"><a name="L331"></a><tt class="py-lineno">331</tt>  <tt class="py-line">    <tt id="link-169" class="py-name"><a title="pod.linalg.Vector" class="py-name" href="#" onclick="return doclink('link-169', 'Vector', 'link-35');">Vector</a></tt><tt class="py-op">.</tt><tt id="link-170" class="py-name"><a title="pod.DecompositionBasic.__init__
pod.linalg.Matrix.__init__
pod.linalg.Point.__init__
pod.linalg.Vector.__init__
pod.linalg.VectorMatrix.__init__
pod.vecspace.HyperPlane.__init__
pod.vecspace.LinearVariety.__init__
pod.vecspace.Projection.__init__
pod.vecspace.StraightLine.__init__
pod.vecspace.VectorSpace.__init__
pod.vecspace.VectorSpace3D.__init__
pod.vecspace.VectorSubspace.__init__" class="py-name" href="#" onclick="return doclink('link-170', '__init__', 'link-123');">__init__</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">coordinates</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L332"></a><tt class="py-lineno">332</tt>  <tt class="py-line">    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-171" class="py-name"><a title="pod.linalg.Vector.set_values" class="py-name" href="#" onclick="return doclink('link-171', 'set_values', 'link-130');">set_values</a></tt><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-name">coordinates</tt><tt class="py-op">)</tt> </tt>
</div><a name="L333"></a><tt class="py-lineno">333</tt>  <tt class="py-line">   </tt>
<a name="Point.__repr__"></a><div id="Point.__repr__-def"><a name="L334"></a><tt class="py-lineno">334</tt> <a class="py-toggle" href="#" id="Point.__repr__-toggle" onclick="return toggle('Point.__repr__');">-</a><tt class="py-line">  <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg.Point-class.html#__repr__">__repr__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Point.__repr__-collapsed" style="display:none;" pad="+++" indent="++++++"></div><div id="Point.__repr__-expanded"><a name="L335"></a><tt class="py-lineno">335</tt>  <tt class="py-line">    <tt class="py-name">line</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
<a name="L336"></a><tt class="py-lineno">336</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">col</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-172" class="py-name"><a title="pod.linalg.Vector.get_length" class="py-name" href="#" onclick="return doclink('link-172', 'get_length', 'link-124');">get_length</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L337"></a><tt class="py-lineno">337</tt>  <tt class="py-line">      <tt class="py-name">line</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-173" class="py-name"><a title="pod.linalg.Vector.get_component" class="py-name" href="#" onclick="return doclink('link-173', 'get_component', 'link-22');">get_component</a></tt><tt class="py-op">(</tt><tt class="py-name">col</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L338"></a><tt class="py-lineno">338</tt>  <tt class="py-line">    <tt class="py-name">out</tt> <tt class="py-op">=</tt> <tt class="py-string">'(P)['</tt> <tt class="py-op">+</tt> <tt class="py-string">', '</tt><tt class="py-op">.</tt><tt class="py-name">join</tt><tt class="py-op">(</tt><tt class="py-name">map</tt><tt class="py-op">(</tt><tt class="py-name">str</tt><tt class="py-op">,</tt> <tt class="py-name">line</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-string">']'</tt> </tt>
<a name="L339"></a><tt class="py-lineno">339</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">out</tt> </tt>
</div></div><a name="L340"></a><tt class="py-lineno">340</tt>  <tt class="py-line"> </tt>
<a name="identity"></a><div id="identity-def"><a name="L341"></a><tt class="py-lineno">341</tt> <a class="py-toggle" href="#" id="identity-toggle" onclick="return toggle('identity');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg-module.html#identity">identity</a><tt class="py-op">(</tt><tt class="py-param">dimension</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="identity-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="identity-expanded"><a name="L342"></a><tt class="py-lineno">342</tt>  <tt class="py-line">  <tt class="py-name">matrix</tt> <tt class="py-op">=</tt> <tt id="link-174" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-174', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">dimension</tt><tt class="py-op">)</tt> </tt>
<a name="L343"></a><tt class="py-lineno">343</tt>  <tt class="py-line">  <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">dimension</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L344"></a><tt class="py-lineno">344</tt>  <tt class="py-line">    <tt class="py-name">matrix</tt><tt class="py-op">.</tt><tt id="link-175" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-175', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-number">1.0</tt><tt class="py-op">)</tt> </tt>
<a name="L345"></a><tt class="py-lineno">345</tt>  <tt class="py-line">  <tt class="py-keyword">return</tt> <tt class="py-name">matrix</tt> </tt>
</div><a name="L346"></a><tt class="py-lineno">346</tt>  <tt class="py-line">   </tt>
<a name="zero"></a><div id="zero-def"><a name="L347"></a><tt class="py-lineno">347</tt> <a class="py-toggle" href="#" id="zero-toggle" onclick="return toggle('zero');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg-module.html#zero">zero</a><tt class="py-op">(</tt><tt class="py-param">dimension</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zero-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="zero-expanded"><a name="L348"></a><tt class="py-lineno">348</tt>  <tt class="py-line">  <tt id="link-176" class="py-name" targets="Function pod.util.zeros()=pod.util-module.html#zeros"><a title="pod.util.zeros" class="py-name" href="#" onclick="return doclink('link-176', 'zeros', 'link-176');">zeros</a></tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-number">0.0</tt><tt class="py-op">]</tt> <tt class="py-op">*</tt> <tt class="py-name">dimension</tt> </tt>
<a name="L349"></a><tt class="py-lineno">349</tt>  <tt class="py-line">  <tt class="py-keyword">return</tt> <tt id="link-177" class="py-name" targets="Class pod.linalg.Point=pod.linalg.Point-class.html"><a title="pod.linalg.Point" class="py-name" href="#" onclick="return doclink('link-177', 'Point', 'link-177');">Point</a></tt><tt class="py-op">(</tt><tt class="py-op">*</tt><tt id="link-178" class="py-name"><a title="pod.util.zeros" class="py-name" href="#" onclick="return doclink('link-178', 'zeros', 'link-176');">zeros</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L350"></a><tt class="py-lineno">350</tt>  <tt class="py-line"> </tt>
<a name="prod_matrix"></a><div id="prod_matrix-def"><a name="L351"></a><tt class="py-lineno">351</tt> <a class="py-toggle" href="#" id="prod_matrix-toggle" onclick="return toggle('prod_matrix');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.linalg-module.html#prod_matrix">prod_matrix</a><tt class="py-op">(</tt><tt class="py-param">m1</tt><tt class="py-op">,</tt> <tt class="py-param">m2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="prod_matrix-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="prod_matrix-expanded"><a name="L352"></a><tt class="py-lineno">352</tt>  <tt class="py-line">  <tt class="py-name">msg</tt> <tt class="py-op">=</tt> <tt class="py-string">'incompatible dimensions: %s x %s'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">m1</tt><tt class="py-op">.</tt><tt id="link-179" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-179', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">m2</tt><tt class="py-op">.</tt><tt id="link-180" class="py-name"><a title="pod.linalg.Matrix.get_dimension
pod.vecspace.LinearVariety.get_dimension
pod.vecspace.VectorSpace.get_dimension" class="py-name" href="#" onclick="return doclink('link-180', 'get_dimension', 'link-33');">get_dimension</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L353"></a><tt class="py-lineno">353</tt>  <tt class="py-line">  <tt class="py-keyword">assert</tt> <tt class="py-name">m1</tt><tt class="py-op">.</tt><tt id="link-181" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-181', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">m2</tt><tt class="py-op">.</tt><tt id="link-182" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-182', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">msg</tt> </tt>
<a name="L354"></a><tt class="py-lineno">354</tt>  <tt class="py-line">  <tt class="py-name">result</tt> <tt class="py-op">=</tt> <tt id="link-183" class="py-name"><a title="pod.linalg.Matrix" class="py-name" href="#" onclick="return doclink('link-183', 'Matrix', 'link-11');">Matrix</a></tt><tt class="py-op">(</tt><tt class="py-name">m1</tt><tt class="py-op">.</tt><tt id="link-184" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-184', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">m2</tt><tt class="py-op">.</tt><tt id="link-185" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-185', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L355"></a><tt class="py-lineno">355</tt>  <tt class="py-line">  <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">m1</tt><tt class="py-op">.</tt><tt id="link-186" class="py-name"><a title="pod.linalg.Matrix.get_dim_row" class="py-name" href="#" onclick="return doclink('link-186', 'get_dim_row', 'link-13');">get_dim_row</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L356"></a><tt class="py-lineno">356</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">m2</tt><tt class="py-op">.</tt><tt id="link-187" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-187', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L357"></a><tt class="py-lineno">357</tt>  <tt class="py-line">      <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L358"></a><tt class="py-lineno">358</tt>  <tt class="py-line">      <tt class="py-keyword">for</tt> <tt class="py-name">k</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">m1</tt><tt class="py-op">.</tt><tt id="link-188" class="py-name"><a title="pod.linalg.Matrix.get_dim_col" class="py-name" href="#" onclick="return doclink('link-188', 'get_dim_col', 'link-12');">get_dim_col</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L359"></a><tt class="py-lineno">359</tt>  <tt class="py-line">        <tt class="py-name">v</tt> <tt class="py-op">+=</tt> <tt class="py-name">m1</tt><tt class="py-op">.</tt><tt id="link-189" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-189', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">k</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">m2</tt><tt class="py-op">.</tt><tt id="link-190" class="py-name"><a title="pod.linalg.Matrix.get_value" class="py-name" href="#" onclick="return doclink('link-190', 'get_value', 'link-17');">get_value</a></tt><tt class="py-op">(</tt><tt class="py-name">k</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt><tt class="py-op">)</tt> </tt>
<a name="L360"></a><tt class="py-lineno">360</tt>  <tt class="py-line">      <tt class="py-name">result</tt><tt class="py-op">.</tt><tt id="link-191" class="py-name"><a title="pod.linalg.Matrix.set_value" class="py-name" href="#" onclick="return doclink('link-191', 'set_value', 'link-16');">set_value</a></tt><tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">,</tt> <tt class="py-name">j</tt><tt class="py-op">,</tt> <tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
<a name="L361"></a><tt class="py-lineno">361</tt>  <tt class="py-line">  <tt class="py-keyword">return</tt> <tt class="py-name">result</tt> </tt>
</div><a name="L362"></a><tt class="py-lineno">362</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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